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A basketball player made 12 out of 15 free throws she attempted.She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation.

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mathstudent55

Answer:

(12 + x)/(15 + x) = 85/100

Step-by-step explanation:

12/15 = 0.8

She currently has an 80% rate.

To raise it, she needs to make x shots. Since she makes all x shots, we add x to both the number of shots made and attempts.

She will make 12 + x shots in 15 + x attempts.

We want that rate to be 0.85 which is the same as 85%.

(12 + x)/(15 + x) = 85/100

(12 + x)/(15 + x) = 17/20

20(12 + x) = 17(15 + x)

240 + 20x = 255 + 17x

3x = 15

x = 5

Answer:

The equation is (12 + x)/(15 + x) = 85/100.

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